Search a number
-
+
99893904 = 243111731359
BaseRepresentation
bin1011111010001…
…00001010010000
320221222010200020
411331010022100
5201033101104
613525023440
72322040605
oct575041220
9227863606
1099893904
1151429850
1229554b80
1317907426
14d3a46ac
158b832d9
hex5f44290

99893904 has 160 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 27494400.

The previous prime is 99893897. The next prime is 99893929. The reversal of 99893904 is 40939899.

It is a super-2 number, since 2×998939042 = 19957584112722432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278077 + ... + 278435.

It is an arithmetic number, because the mean of its divisors is an integer number (1928448).

Almost surely, 299893904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99893904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

99893904 is an abundant number, since it is smaller than the sum of its proper divisors (208657776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99893904 is a wasteful number, since it uses less digits than its factorization.

99893904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The square root of 99893904 is about 9994.6937922079. The cubic root of 99893904 is about 463.9946739381.

The spelling of 99893904 in words is "ninety-nine million, eight hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 31 33 34 44 48 51 62 66 68 88 93 102 124 132 136 176 186 187 204 248 264 272 341 359 372 374 408 496 527 528 561 682 718 744 748 816 1023 1054 1077 1122 1364 1436 1488 1496 1581 2046 2108 2154 2244 2728 2872 2992 3162 3949 4092 4216 4308 4488 5456 5744 5797 6103 6324 7898 8184 8432 8616 8976 11129 11594 11847 12206 12648 15796 16368 17232 17391 18309 22258 23188 23694 24412 25296 31592 33387 34782 36618 44516 46376 47388 48824 63184 66774 67133 69564 73236 89032 92752 94776 97648 122419 133548 134266 139128 146472 178064 189193 189552 201399 244838 267096 268532 278256 292944 367257 378386 402798 489676 534192 537064 567579 734514 756772 805596 979352 1074128 1135158 1469028 1513544 1611192 1958704 2081123 2270316 2938056 3027088 3222384 4162246 4540632 5876112 6243369 8324492 9081264 12486738 16648984 24973476 33297968 49946952 99893904